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Operating Segments - Schedule of Segment Reporting Information (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 01, 2024	Jun. 03, 2023	May 28, 2022
Segment Reporting Information
Net sales	$ 3,628.4	$ 4,087.1	$ 3,946.0
Depreciation and amortization	155.1	155.1	190.6
Operating earnings (loss)	167.2	122.3	39.8
Capital expenditures	78.4	83.3	94.7
Goodwill	1,226.3	1,221.7	1,226.2
Operating Segments
Segment Reporting Information
Net sales	3,628.4	4,087.1
Corporate
Segment Reporting Information
Depreciation and amortization	0.0	0.0	0.0
Operating earnings (loss)	(52.1)	(60.4)	(140.6)
Americas Contract
Segment Reporting Information
Goodwill	530.1	528.4	530.1
Americas Contract | Operating Segments
Segment Reporting Information
Net sales	1,824.2	2,026.1	1,929.1
Depreciation and amortization	94.9	87.7	104.5
Operating earnings (loss)	98.7	99.6	(24.0)
Capital expenditures	47.6	52.4	52.5
International Contract & Specialty
Segment Reporting Information
Goodwill	304.4	303.0	304.3
International Contract & Specialty | Operating Segments
Segment Reporting Information
Net sales	931.8	1,017.3	928.5
Depreciation and amortization	35.1	33.4	52.3
Operating earnings (loss)	78.2	98.6	69.9
Capital expenditures	14.4	15.6	17.8
Global Retail
Segment Reporting Information
Goodwill	391.8	390.3	391.8
Global Retail | Operating Segments
Segment Reporting Information
Net sales	872.4	1,043.7	1,088.4
Depreciation and amortization	25.1	34.0	33.8
Operating earnings (loss)	42.4	(15.5)	134.5
Capital expenditures	$ 16.4	$ 15.3	$ 24.4

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